Answer:
0.23
Step-by-step explanation:
Given the data:
____(x) __(y)__(x - m1) /s1 ___(y-m2) /s2
1 ___6 ___8__ - 0.2 _______0.625
2 __5 ___ 5__ - 0.7________ - 1.25
3 __9____6__ 1.3 ________ - 0.625
4__ 4____ 7__ - 1.2 ______ 0
5__ 8 ____9 _ 0.8 _______ 1.25
For English :
Mean score(m1) = 6.4
Standard deviation (s1) = 2.0
For Science :
Mean score (m2) = 7.0
Standard deviation (s2) = 1.6
n = number of observations = 5
Correlation Coefficient (r) :
r = 1/(n - 1) Σ[((X - m1) / s1) * ((Y - m2) /s2)]
(-0. 2 * 0.625) + (-0.7 * - 1.25) + (1.3 * - 0.625) + (-1.2 * 0) + (0.8 * 1.25) = 0.9375
r = 0.9375/(5-1)
= 0.234
= 0.23
Well, there's a lot of ways you could do this. Because it's multiple choice, you can just pick a pair of points and whatever equation it works in, that's your answer. In this case, it's the third one down.
If you didn't have multiple choice you would use these two formulas:
m = (y2 - y1)/(x2-x1)
y - y1 = m (x - x1)
Answer:
Option (C)
Step-by-step explanation:
Let the relation between amount of money (m) and Time (t) is represented by the equation,
m = ct + b
Where c = Investment per week
b = Ben already had the amount before investment
From the question,
c = $5 per week
b = $100
Therefore, equation will be,
m = 5t + 100
If duration of the investment 't' = 8 weeks
Amount in the account after 8 weeks,
m = 5(8) + 100
m = $140
Option (C) is the correct option.